3918929040 has 320 divisors, whose sum is σ = 14724890880. Its totient is φ = 964099584.

The previous prime is 3918929033. The next prime is 3918929071. The reversal of 3918929040 is 409298193.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2273619 + ... + 2275341.

It is an arithmetic number, because the mean of its divisors is an integer number (46015284).

Almost surely, 2^3918929040 is an apocalyptic number.

3918929040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3918929040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7362445440).

3918929040 is an abundant number, since it is smaller than the sum of its proper divisors (10805961840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3918929040 is a wasteful number, since it uses less digits than its factorization.

3918929040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 3918929040 is about 62601.3501451846. The cubic root of 3918929040 is about 1576.6034283008.

The spelling of 3918929040 in words is "three billion, nine hundred eighteen million, nine hundred twenty-nine thousand, forty".